COMEDK2018MathematicsDefinite Integration
The interval I such that ₀¹ d x 1+x⁴ I is given by
Options
- A[0, 1 2 ]
- B[ 1 2 , 1 ]
- C[ 2 , 2]
- D[ 2 , 7 4 ]
Correct answer
B. [ 1 2 , 1 ]
Step-by-step solution
aligned & (b) Let I = ₀¹ 1 1+x⁴ d x & We have, 0 x 1 & 0 x⁴ 1 & 1 1+x⁴ 2 & 1 2 1 1+x⁴ 2 1 & ₀¹ 1 2 d x ₀¹ 1 1+x⁴ d x ₀¹ 1 d x & 1 2 ₀¹ 1 1+x⁴ d x 1 & I [ 1 2 , 1 ] aligned